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- W2021813567 abstract "Let G =( U,L,E ) be a bipartite graph with vertex set U ∪ L and edge set E ⊆ U x L . A typical convention for drawing G is to put the vertices of U on a line and the vertices of L on a separate, parallel line and then to represent edges by placing open straight line segments between the vertices that determine them. In this convention, a drawing is biplanar if edges do not cross, and a subgraph of G is biplanar if it has a biplanar drawing. The main results of this paper are the following: (1) it is NP-complete to determine whether G has a biplanar subgraph with at least K edges; (2) it is also NP-complete to determine whether G has such a subgraph when the positions for the vertices in either U or L are specified; (3) when the positions of the vertices in both U and L are specified, the problem can be solved in polynomial time by transformation to the longest ascending subsequence problem." @default.
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- W2021813567 date "1994-09-01" @default.
- W2021813567 modified "2023-09-30" @default.
- W2021813567 title "Drawing graphs in two layers" @default.
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- W2021813567 doi "https://doi.org/10.1016/0304-3975(94)90179-1" @default.
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